GCD of 208, 127, 408 Calculator

Given Input numbers are 208, 127, 408

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 208, 127, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 127, 408 is 1.

Therefore, GCD of numbers 208, 127, 408 is 1

Given Input Data is 208, 127, 408

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 127 is 127

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(208, 127) = 26416

GCD(208, 127) = ( 208 x 127 ) / 26416

GCD(208, 127) = 26416 / 26416

GCD(208, 127) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 208, 127, 408 is 1

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1. What is the GCD of 208, 127, 408?

GCD of 208, 127, 408 is 1

2. Where do I get the detailed procedure to find GCD of 208, 127, 408?

You can find a detailed procedure to find GCD of 208, 127, 408 on our page.

3. How to find GCD of 208, 127, 408 on a calculator?

You can find the GCD of 208, 127, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.